Add 10 to 5 times the difference of the
product of 9 and 15 and the sum of 65 and 35
Answers
Answer:
Product of two number is 15, and we already know one number is 5. Say the other number is x
x * 5= 15
(x*5) / 5= 15/5 : Divide both side by 5 to cancel out the 5 on the left hand side
x = 3
Therefore the other number is 3. Hope this helped :)
Step-by-step explanation:
"Add 10 to 5 times the difference of the product of 9 and 15 and the sum of 65 and 35"
· Sum of 65 and 35 = 65 + 35
· Product of 9 and 15 = 9 × 15
· Difference of product of 9 and 15 and the sum of 65 and 35. Two cases are possible:-
i) (65 + 35) - (9 × 15)
ii) (9 × 15) - (65 +35)
· 5 times the difference of... = Any of the two cases × 5
· Add 10 to 5 times the... = 10 + (Any of the two cases × 5)
Case 1:-
10 + [5{(65 + 35) - (9 × 15)}]
= 10 + {5(100 - 135)}
= 10 + {5 × (-35)}
= 10 + (-175)
= 10 - 175
= - 165
Case 2:-
10 + [5{(9 × 15) - (65 +35)}]
= 10 + {5(135 - 100)}
= 10 + 175
= 185
So when (65 + 35) - (9 × 15), answer is - 165, and when (9 × 15) - (65 +35), answer is 185. Hope it helps!